Difference between revisions of "Refractivity"

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n = c/v
 
n = c/v
 +
 +
[[File:equationtest.wmf]]
  
 
where:
 
where:
c is the velocity of light in a vacuum.
+
*c is the velocity of light in a vacuum.
v is the velocity of light in air.
+
*v is the velocity of light in air.
 +
 
 
A typical value of n is 1.000301. For convenience the refractive index is expressed as refractivity (N)  
 
A typical value of n is 1.000301. For convenience the refractive index is expressed as refractivity (N)  
  
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where:  
 
where:  
P is the atmospheric pressure.
+
*P is the atmospheric pressure.
T is the absolute temperature.
+
*T is the absolute temperature.
e is the water vapor pressure.
+
*e is the water vapor pressure.
N varies with elevation. In a well mixed troposphere, the variation is exponential; however, in the range from 1 to 2 kilometers above sea level, the variation is approximately linear. This is referred to as a constant refractivity gradient. The refractivity gradient determines the microwave beam-bending.
+
*N varies with elevation. In a well mixed troposphere, the variation is exponential; however, in the range from 1 to 2 kilometers above sea level, the variation is approximately linear. This is referred to as a constant refractivity gradient. The refractivity gradient determines the microwave beam-bending.
  
 
Handling the variations of refractivity with elevation is the major challenge in the design of high reliability microwave links
 
Handling the variations of refractivity with elevation is the major challenge in the design of high reliability microwave links

Latest revision as of 14:32, 21 February 2020

The refractive index (n) of air is defined as:

n = c/v

File:Equationtest.wmf

where:

  • c is the velocity of light in a vacuum.
  • v is the velocity of light in air.

A typical value of n is 1.000301. For convenience the refractive index is expressed as refractivity (N)

N = (n-1) x 10^6

which results in a typical value of 301 Refractivity is defined by the equation:

N = 77.6 x (P/T) + 3.732 x 10^5 x (e/T^2)

where:

  • P is the atmospheric pressure.
  • T is the absolute temperature.
  • e is the water vapor pressure.
  • N varies with elevation. In a well mixed troposphere, the variation is exponential; however, in the range from 1 to 2 kilometers above sea level, the variation is approximately linear. This is referred to as a constant refractivity gradient. The refractivity gradient determines the microwave beam-bending.

Handling the variations of refractivity with elevation is the major challenge in the design of high reliability microwave links